caa a22 4500 475738349 CHVBK 20180406123452.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/s002220000057 doi (NATIONALLICENCE)springer-10.1007/s002220000057 SRB measures for partially hyperbolic systems whose central direction is mostly expanding [Elektronische Daten] [José F. Alves, Christian Bonatti, Marcelo Viana] Abstract. : We construct Sinai-Ruelle-Bowen (SRB) measures supported on partially hyperbolic sets of diffeomorphisms - the tangent bundle splits into two invariant subbundles, one of which is uniformly contracting - under the assumption that the complementary subbundle is non-uniformly expanding. If the rate of expansion (Lyapunov exponents) is bounded away from zero, then there are only finitely many SRB measures. Our techniques extend to other situations, including certain maps with singularities or critical points, as well as diffeomorphisms having only a dominated splitting (and no uniformly hyperbolic subbundle). Springer-Verlag Berlin Heidelberg, 2000 Alves José F. Dep. Matemática Pura, Faculdade de Ciências do Porto, P-4099-002 Porto, Portugal¶(e-mail: jfalves@fc.up.pt), PT aut Bonatti Christian Lab. Topologie, CNRS - UMR 5584, Univ. Bourgogne, B.P. 47870, 21078 Dijon Cedex, France (e-mail: bonatti@satie.u-bourgogne.fr), FR aut Viana Marcelo IMPA, Estrada D. Castorina 110, Jardim Botânico, 22460-320 Rio de Janeiro RJ, Brazil¶(e-mail: viana@impa.br), BR aut https://doi.org/10.1007/s002220000057 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s002220000057 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alves José F. Dep. Matemática Pura, Faculdade de Ciências do Porto, P-4099-002 Porto, Portugal¶(e-mail: jfalves@fc.up.pt), PT aut NATIONALLICENCE 700 1- Bonatti Christian Lab. Topologie, CNRS - UMR 5584, Univ. Bourgogne, B.P. 47870, 21078 Dijon Cedex, France (e-mail: bonatti@satie.u-bourgogne.fr), FR aut NATIONALLICENCE 700 1- Viana Marcelo IMPA, Estrada D. Castorina 110, Jardim Botânico, 22460-320 Rio de Janeiro RJ, Brazil¶(e-mail: viana@impa.br), BR aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer